Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian

In this article, we study a Riccati inequality that appears in the theory of partial differential equations with p-Laplacian. Our results allow to compare existence and nonexistence of positive solutions for Riccati type inequalities which are associated with equations with different powers p.

Bibliographic Details
Main Authors:	Ondrej Dosly, Simona Fisnarova, Robert Marik
Format:	Article
Language:	English
Published:	Texas State University 2011-04-01
Series:	Electronic Journal of Differential Equations
Subjects:	PDE with p-Laplacian power comparison theorem Riccati inequality half-linear ODE
Online Access:	http://ejde.math.txstate.edu/Volumes/2011/53/abstr.html

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spelling	doaj-d9d05a2ad9a44f5a8e1e44f339e8dccd2020-11-25T01:42:02ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-04-01201153,19Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-LaplacianOndrej DoslySimona FisnarovaRobert MarikIn this article, we study a Riccati inequality that appears in the theory of partial differential equations with p-Laplacian. Our results allow to compare existence and nonexistence of positive solutions for Riccati type inequalities which are associated with equations with different powers p. http://ejde.math.txstate.edu/Volumes/2011/53/abstr.htmlPDE with p-Laplacianpower comparison theoremRiccati inequalityhalf-linear ODE
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ondrej Dosly Simona Fisnarova Robert Marik
spellingShingle	Ondrej Dosly Simona Fisnarova Robert Marik Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian Electronic Journal of Differential Equations PDE with p-Laplacian power comparison theorem Riccati inequality half-linear ODE
author_facet	Ondrej Dosly Simona Fisnarova Robert Marik
author_sort	Ondrej Dosly
title	Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian
title_short	Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian
title_full	Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian
title_fullStr	Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian
title_full_unstemmed	Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian
title_sort	comparison theorems for riccati inequalities arising in the theory of pde's with p-laplacian
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2011-04-01
description	In this article, we study a Riccati inequality that appears in the theory of partial differential equations with p-Laplacian. Our results allow to compare existence and nonexistence of positive solutions for Riccati type inequalities which are associated with equations with different powers p.
topic	PDE with p-Laplacian power comparison theorem Riccati inequality half-linear ODE
url	http://ejde.math.txstate.edu/Volumes/2011/53/abstr.html
work_keys_str_mv	AT ondrejdosly comparisontheoremsforriccatiinequalitiesarisinginthetheoryofpdeswithplaplacian AT simonafisnarova comparisontheoremsforriccatiinequalitiesarisinginthetheoryofpdeswithplaplacian AT robertmarik comparisontheoremsforriccatiinequalitiesarisinginthetheoryofpdeswithplaplacian
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Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian

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